GCD of 18, 382, 270, 675 Calculator

Given Input numbers are 18, 382, 270, 675

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Greatest Common Divisior

We found the divisors of 18, 382, 270, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 382, 270, 675 is 1.

Therefore, GCD of numbers 18, 382, 270, 675 is 1

Given Input Data is 18, 382, 270, 675

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 382 is 2 x 191

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(18, 382) = 3438

GCD(18, 382) = ( 18 x 382 ) / 3438

GCD(18, 382) = 6876 / 3438

GCD(18, 382) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 270

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

GCD(2, 270) = 540 / 270

GCD(2, 270) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 675

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 675) = 1350

GCD(2, 675) = ( 2 x 675 ) / 1350

GCD(2, 675) = 1350 / 1350

GCD(2, 675) = 1

GCD of 18, 382, 270, 675 is 1

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• GCD of 50, 515, 567, 107
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1. What is the GCD of 18, 382, 270, 675?

GCD of 18, 382, 270, 675 is 1

2. Where do I get the detailed procedure to find GCD of 18, 382, 270, 675?

You can find a detailed procedure to find GCD of 18, 382, 270, 675 on our page.

3. How to find GCD of 18, 382, 270, 675 on a calculator?

You can find the GCD of 18, 382, 270, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.